Rail tickets from Pisa Airport to Montecatini


Could anyone tell me if it is possible to buy rail tickets at Pisa Airport for the journey to Montecatini including the Pisamover Monorail? Or do you have to purchase the Pisamover seperately and get a ticket from Pisa Centrale to Montecatini when you arrive in Pisa?

I see you can purchase the one ticket on the Trenitalia website, but unsure whether there are ticket machines that cover this journey at the airport.

Many thanks in advance.